Answer:
The other factor is (x - 2)
Step-by-step explanation:
One quick way to solve this is to factor the polynomial and see what you get:
3x² – 10x + 8
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x - 4)(x - 2)
You can also solve this using long division:
[tex]\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^{2} - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R[/tex]
